如图已知过椭圆x^2/a^2+y^2/b^2(a>b>0)的左顶点A(-A,0)作直线l交y轴于点P,叫椭圆于点P交椭圆于点Q,若△AOP是等腰三角形,且向量PQ=2向量QA,则椭圆的离心率为
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![如图已知过椭圆x^2/a^2+y^2/b^2(a>b>0)的左顶点A(-A,0)作直线l交y轴于点P,叫椭圆于点P交椭圆于点Q,若△AOP是等腰三角形,且向量PQ=2向量QA,则椭圆的离心率为](/uploads/image/z/12208326-6-6.jpg?t=%E5%A6%82%E5%9B%BE%E5%B7%B2%E7%9F%A5%E8%BF%87%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%28a%3Eb%3E0%29%E7%9A%84%E5%B7%A6%E9%A1%B6%E7%82%B9A%28-A%2C0%29%E4%BD%9C%E7%9B%B4%E7%BA%BFl%E4%BA%A4y%E8%BD%B4%E4%BA%8E%E7%82%B9P%2C%E5%8F%AB%E6%A4%AD%E5%9C%86%E4%BA%8E%E7%82%B9P%E4%BA%A4%E6%A4%AD%E5%9C%86%E4%BA%8E%E7%82%B9Q%2C%E8%8B%A5%E2%96%B3AOP%E6%98%AF%E7%AD%89%E8%85%B0%E4%B8%89%E8%A7%92%E5%BD%A2%2C%E4%B8%94%E5%90%91%E9%87%8FPQ%3D2%E5%90%91%E9%87%8FQA%2C%E5%88%99%E6%A4%AD%E5%9C%86%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA)
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